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Representation of molecular structures

Representation of molecular structures. A hierarchy of structure representations. Coutersy of Prof. João Aires - de - Sousa, University of Lisbon, Portugal. Storing molecular structures in a computer. Coutersy of Prof. João Aires - de - Sousa, University of Lisbon, Portugal.

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Representation of molecular structures

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  1. Representation of molecular structures

  2. A hierarchy of structure representations Coutersy of Prof. João Aires-de-Sousa, University of Lisbon, Portugal

  3. Storing molecular structures in a computer Coutersy of Prof. João Aires-de-Sousa, University of Lisbon, Portugal

  4. Storing molecular structures in a computer • Information must be coded into interconvertible formats that can be read by software applications. • Applications: visualization, communication, database searching / management, establishment of structure-property relationships, estimation of properties, … Coutersy of Prof. João Aires-de-Sousa, University of Lisbon, Portugal

  5. Coding molecular structures • A non-ambiguous representation identifies a single possible structure, e.g. the name ‘o-xylene’ represents one and only one possible structure. • A representation is unique if any structure has only one possible representation (some nomenclature isn’t, e.g. ‘1,2-dimethylbenzene’ and ‘o-xylene’ represent the same structure).

  6. IUPAC Nomenclature IUPAC name : N-[(2R,4R,5S)-5-[[(2S,4R,5S)-3-acetamido-5-[[(2S,4S,5S)-3-acetamido-4,5-dihydroxy-6-(hydroxymethyl)oxan-2-yl]methoxymethyl]-4-hydroxy-6-(hydroxymethyl)oxan-2-yl]methoxymethyl]-2,4-dihydroxy-6-(hydroxymethyl)oxan-3-yl]acetamide

  7. IUPAC Nomenclature • Advantages: • standardized systematic classification • stereochemistry is included • widespread • unambiguous • allows reconstruction from the name • Disadvantages: • extensive rules • alternative names are allowed (non-unique) • long complicated names IUPAC name : N-[(2R,4R,5S)-5-[[(2S,4R,5S)-3-acetamido-5-[[(2S,4S,5S)-3-acetamido-4,5-dihydroxy-6-(hydroxymethyl)oxan-2-yl]methoxymethyl]-4-hydroxy-6-(hydroxymethyl)oxan-2-yl]methoxymethyl]-2,4-dihydroxy-6-(hydroxymethyl)oxan-3-yl]acetamide

  8. Linear notations Represent structures by linear sequences of letters and numbers, e.g. IUPAC nomenclature. Linear notations can be extremely compact, which is an advantage for the storage of structures in a computer (particularly when disk space is limited). Linear notations allow for an easy transmission of structures, e.g. in a Google-type search, or in an email.

  9. Example: SMILES representation : CCCO Example : SMILES: CCC(Cl)C=C The SMILES notation • Atoms are represented by their atomic symbols. • Hydrogen atoms are omitted (are implicit). • Neighboring atoms are represented next to each other. • Double bonds are represented by ‘=‘, triple bonds by ‘#’. • Branches are represented by parentheses. • Rings are represented by allocating digits to the two connecting ring atoms.

  10. The SMILES notation • Atoms are represented by their atomic symbols. • Hydrogen atoms are omitted (are implicit). • Neighboring atoms are represented next to each other. • Double bonds are represented by ‘=‘, triple bonds by ‘#’. • Branches are represented by parentheses. • Rings are represented by allocating digits to the two connecting ring atoms. b e a c f d a b c d e f SMILES: CCC(Cl)C=C

  11. The SMILES notation • Atoms are represented by their atomic symbols. • Hydrogen atoms are omitted (are implicit). • Neighboring atoms are represented next to each other. • Double bonds are represented by ‘=‘, triple bonds by ‘#’. • Branches are represented by parentheses. • Rings are represented by allocating digits to the two connecting ring atoms. 1 SMILES: C1CCCCC1

  12. The SMILES notation • Atoms are represented by their atomic symbols. • Hydrogen atoms are omitted (are implicit). • Neighboring atoms are represented next to each other. • Double bonds are represented by ‘=‘, triple bonds by ‘#’. • Branches are represented by parentheses. • Rings are represented by allocating digits to the two connecting ring atoms. • Aromatic rings are indicated by lower-case letters. SMILES: Nc1ccccc1

  13. The SMILES notation • Is unambiguous (a SMILES string unequivocally represents a single structure). • Is it unique ?? • Solution: algorithm that guarantees a canonical representation (each structure is always represented by the same SMILES string) • More at: http://www.daylight.com/dayhtml_tutorials/index.html SMILES: Nc1ccccc1 but also c1ccccc1N orc1cc(N)ccc1

  14. SMILES notation in MarvinSketch Paste

  15. SMILES notation in MarvinSketch

  16. The InChI notation (IUPAC International Chemical Identifier) Example: A digital equivalent to the IUPAC name for a compound. Five layers of information: connectivity, tautomerism, isotopes, stereochemistry, and charge. An algorithm generates an unambiguous unique notation. Official web site : http://www.iupac.org/inchi/

  17. The InChI notation (IUPAC International Chemical Identifier) Example: Each layer in an InChI string contains a specific class of structural information. This format is designed for compactness, not readability, but can be interpreted manually. The length of an identifier is roughly proportional to the number of atoms in the substance. Numbers inside a layer usually represent the canonical numbering of the atoms from the first layer (chemical formula) except H.

  18. Graph theory A molecular structure can be interpreted as a mathematical graph where each atom is a node, and each bond is an edge. Such a representation allows for the mathematical processing of molecular structures using the graph theory.

  19. Topological Graph Theory • branch of mathematics • particularly useful in chemical informaticsand in computer science generally • study of “graphs” which consist of • a set of “nodes” • a set of “edges” joining pairs of nodes

  20. Properties of graphs • graphs are only about connectivity • spatial position of nodes is irrelevant • length of edges are irrelevant • crossing edges are irrelevant

  21. Properties of Graphs • nodes and edges can be “coloured” to distinguish them

  22. Structure Diagrams as Graphs • 2D structure diagrams very like topological graphs • atoms  nodes • bonds  edges • terminal hydrogen atoms are not normally shown as separate nodes (“implicit” hydrogens) • reduces number of nodes by ~50% • “hydrogen count” information used to colour neighbouring “heavy atom” atom • separate nodes sometimes used for “special” hydrogens • deuterium, tritium • hydrogen bonded to more than one other atom • hydrogens attached to stereocentres

  23. Advantages of using graphs • mathematical theory is well understood • graphs can be easily represented in computers • many useful algorithms are known • identical graphs  identical molecules • different graphs  different molecules

  24. 2 5 1 3 6 4 Matrix representations A molecular structure with n atoms may be represented by an n × n matrix (H-atoms are often omitted). Adjacency matrix : indicates which atoms are bonded.

  25. 2 5 1 3 6 4 Matrix representations A molecular structure with n atoms may be represented by an n × n matrix (H-atoms are often omitted). Adjacency matrix : indicates which atoms are bonded.

  26. 2 5 1 3 6 4 Matrix representations A molecular structure with n atoms may be represented by an n × n matrix (H-atoms are often omitted). Adjacency matrix : indicates which atoms are bonded.

  27. 2 5 1 3 6 4 Matrix representations Distance matrix : encodes the distances between atoms. The distance is defined as the number of bonds between atoms on the shortest possible path. Distance may also be defined as the 3D distance between atoms.

  28. 2 5 1 3 6 4 Matrix representations Bond matrix : indicates which atoms are bonded, and the corresponding bond orders.

  29. 2 5 1 3 6 4 Connection table A disadvantage of matrix representations is that the matrix size increases with the square of the number of atoms. A connectiontable lists the atoms of a molecule, and the bonds between them (may include or not H-atoms). List of atoms 1 C 2 C 3 C 4 Cl 5 C 6 C List of bonds 1st 2nd order 1 2 1 2 3 1 3 4 1 3 5 1 5 6 2

  30. 2 5 1 3 6 4 The MDL Molfile format ( http://www.mdli.com/downloads/public/ctfile/ctfile.jsp ) Description of an atom Nr of bonds Nr of atoms Description of a bond

  31. The MDL Molfile format

  32. The atom block

  33. The atom block

  34. The atom block

  35. The atom block

  36. The atom block

  37. The MDL Molfile format

  38. The bond block

  39. The bond block

  40. The bond block

  41. The bond block

  42. The MDL Molfile format

  43. The properties block 2 charged atoms

  44. The properties block 2 charged atoms atom 4: charge +1 atom 6: charge -1

  45. The properties block 1 entry for an isotope

  46. The properties block 1 entry for an isotope atom 3: mass=13

  47. The SDFile (.SDF) format Includes structural information in the Molfile format and associateddata items for one or more compounds. Molfile1 Associated data $$$$ Molfile2 Associated data $$$$ …

  48. Associated data (molecular) The SDFile (.SDF) format Example Molfile1 Associated data $$$$ Molfile2 Associated data $$$$ …

  49. Associated data (atomic) The SDFile (.SDF) format Example Molfile1 Associated data $$$$ Molfile2 Associated data $$$$ …

  50. Associated data (molecular) The SDFile (.SDF) format Example Molfile1 Associated data $$$$ Molfile2 Associated data $$$$ …

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